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Locally admissible multi-valued maps

Mirosław Ślosarski — 2011

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper we generalize the class of admissible mappings as due by L. Górniewicz in 1976. Namely we define the notion of locally admissible mappings. Some properties and applications to the fixed point problem are presented.

Metrizable space of multivalued maps

Mirosław Ślosarski — 2021

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

In this article we define a metrizable space of multivalued maps. We show that the metric defined in this space is closely related to the homotopy of multivalued maps. Moreover, we study properties of this space and give a few practical applications of the new metric.

Multi-invertible maps and their applications

Mirosław Ślosarski — 2019

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.

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